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Results (1-50 of 436253 matches)

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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
7.3.612233.1	$x^{7} - x^{6} + x^{5} - x^{3} + x^{2} - x - 1$	$7$	[3,2]	$71\cdot 8623$	$2$	$6.70968899977$	$782.453193488275$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.0043488088$
7.3.612569.1	$x^{7} - 3 x^{5} - x^{4} + 3 x^{3} + 1$	$7$	[3,2]	$593\cdot 1033$	$2$	$6.71021492592$	$782.6678733664746$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.00473118615$
7.3.640681.1	$x^{7} - 2 x^{6} + 2 x^{5} - 3 x^{3} + 2 x^{2} - 1$	$7$	[3,2]	$59\cdot 10859$	$2$	$6.75336563466$	$800.4255118372977$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.03572100897$
7.3.649177.1	$x^{7} - x^{6} - x^{4} + 3 x^{2} - 1$	$7$	[3,2]	$59\cdot 11003$	$2$	$6.7660871788$	$805.715210232499$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.04457859743$
7.3.661033.1	$x^{7} - x^{6} - x^{5} + 2 x^{3} + x^{2} - 2 x - 1$	$7$	[3,2]	$173\cdot 3821$	$2$	$6.78360339232$	$813.0393594408575$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.05867901846$
7.3.674057.1	$x^{7} - 3 x^{6} + 5 x^{5} - 6 x^{4} + 3 x^{3} - x^{2} - x + 1$	$7$	[3,2]	$674057$	$1$	$6.80253752495$	$821.0097441565478$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.07111041624$
7.3.689033.1	$x^{7} - x^{5} - 3 x^{4} - x^{3} + 2 x^{2} + 2 x + 1$	$7$	[3,2]	$689033$	$1$	$6.82392568999$	$830.0801166152578$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.08660136548$
7.3.696401.1	$x^{7} - x^{6} + 2 x^{4} - 4 x^{3} + 4 x^{2} - 4 x + 1$	$7$	[3,2]	$109\cdot 6389$	$2$	$6.83430250587$	$834.5064409577676$	?	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.09570865222$
7.3.724873.1	$x^{7} - x^{6} + x^{4} - 2 x^{3} + x^{2} - 1$	$7$	[3,2]	$31\cdot 67\cdot 349$	$3$	$6.87353699973$	$851.3947380621987$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.12750713062$
7.3.726721.1	$x^{7} - x^{6} + 2 x^{4} - 5 x^{3} + 4 x^{2} - 3 x + 1$	$7$	[3,2]	$79\cdot 9199$	$2$	$6.87603762292$	$852.4793252624958$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.12696232898$
7.3.746633.1	$x^{7} - 3 x^{6} + 4 x^{5} - 5 x^{4} + 4 x^{3} - 2 x^{2} + x + 1$	$7$	[3,2]	$127\cdot 5879$	$2$	$6.90264139532$	$864.0792787701832$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.14977374666$
7.3.753209.1	$x^{7} - x^{6} - x^{5} + 4 x^{4} - 3 x^{3} - x^{2} + 3 x - 1$	$7$	[3,2]	$37\cdot 20357$	$2$	$6.91129383131$	$867.8761432370404$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.15676521553$
7.3.763993.1	$x^{7} - x^{6} - x^{5} + x^{4} - 2 x^{3} + 2 x + 1$	$7$	[3,2]	$113\cdot 6761$	$2$	$6.92534382617$	$874.0669310756471$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.16673903435$
7.3.765529.1	$x^{7} - 2 x^{6} + 3 x^{4} - 4 x^{3} + 2 x - 1$	$7$	[3,2]	$19\cdot 43\cdot 937$	$3$	$6.92733116187$	$874.9451411374315$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.1694260469$
7.3.780401.1	$x^{7} - 2 x^{6} + 2 x^{5} - x^{4} - 2 x^{3} + 2 x^{2} - 2 x + 1$	$7$	[3,2]	$780401$	$1$	$6.9463984031$	$883.4030790075388$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.18998009625$
7.3.788857.1	$x^{7} - x^{6} - x^{5} + 3 x^{4} - 2 x^{3} + 2 x - 1$	$7$	[3,2]	$31\cdot 25447$	$2$	$6.95710128743$	$888.1762212534177$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.19146379723$
7.3.789289.1	$x^{7} - x^{4} - 2 x^{3} + 1$	$7$	[3,2]	$79\cdot 97\cdot 103$	$3$	$6.95764543143$	$888.4193829492916$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.19240293937$
7.3.792873.1	$x^{7} - 2 x^{6} + 2 x^{5} + x^{4} - 2 x^{3} + 2 x^{2} - 1$	$7$	[3,2]	$3^{2}\cdot 37\cdot 2381$	$3$	$6.96214999367$	$514.0924041454026$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.20222304962$
7.3.794233.1	$x^{7} - x^{5} - 3 x^{4} - x^{3} + 3 x^{2} + x - 1$	$7$	[3,2]	$11\cdot 103\cdot 701$	$3$	$6.96385474712$	$891.1975089731793$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.19972806922$
7.3.796753.1	$x^{7} - x^{6} - 2 x^{5} + 2 x^{4} + x^{3} - x - 1$	$7$	[3,2]	$41\cdot 19433$	$2$	$6.96700695231$	$892.6102172841178$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.19918564473$
7.3.819713.1	$x^{7} - 3 x^{6} + 3 x^{5} - 4 x^{3} + 3 x^{2} - 1$	$7$	[3,2]	$41\cdot 19993$	$2$	$6.99534006635$	$905.3800307053386$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.22462908711$
7.3.830801.1	$x^{7} - 2 x^{6} + x^{5} + x^{4} - 3 x^{3} + 2 x^{2} - 1$	$7$	[3,2]	$830801$	$1$	$7.00878003301$	$911.482857765301$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.24002746171$
7.3.838289.1	$x^{7} - 3 x^{5} - x^{4} + 3 x^{3} - 2 x + 1$	$7$	[3,2]	$521\cdot 1609$	$2$	$7.01776966161$	$915.5812361554817$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.2471083145$
7.3.877193.1	$x^{7} - x^{6} - 2 x^{5} + x^{4} + 2 x^{3} + x^{2} - 2 x - 1$	$7$	[3,2]	$739\cdot 1187$	$2$	$7.06339663145$	$936.5858209475521$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.28010741298$
7.3.891169.1	$x^{7} - x^{6} - x^{5} + 2 x^{4} - 3 x^{2} + 1$	$7$	[3,2]	$149\cdot 5981$	$2$	$7.0793648605$	$944.0174786517462$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.31528604901$
7.3.909673.1	$x^{7} - 2 x^{6} + 3 x^{5} - 4 x^{4} + 2 x^{3} - x^{2} - x + 1$	$7$	[3,2]	$23\cdot 39551$	$2$	$7.10017951555$	$953.7677914461151$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.31339372163$
7.3.909929.1	$x^{7} - 2 x^{5} - x^{4} + 4 x^{3} + 2 x^{2} - 2 x - 1$	$7$	[3,2]	$19\cdot 83\cdot 577$	$3$	$7.10046492844$	$953.9019865793341$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.31048370695$
7.3.919969.1	$x^{7} - 2 x^{6} - x^{5} + 3 x^{4} + x^{3} - 3 x^{2} - x + 1$	$7$	[3,2]	$919969$	$1$	$7.11160454856$	$959.1501446593229$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.32281643722$
7.3.941177.1	$x^{7} - 2 x^{5} + x^{3} - x^{2} - x + 1$	$7$	[3,2]	$113\cdot 8329$	$2$	$7.13479690221$	$970.1427729978717$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.3451431728$
7.3.970129.1	$x^{7} - x^{6} - 2 x^{5} + 2 x^{4} + x^{3} - 2 x^{2} - x + 1$	$7$	[3,2]	$571\cdot 1699$	$2$	$7.1657450988$	$984.9512678300384$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.38921404829$
7.3.983441.1	$x^{7} - 2 x^{5} - x^{4} - x^{3} + x^{2} + 2 x + 1$	$7$	[3,2]	$983441$	$1$	$7.17970997874$	$991.6859381880939$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.40268512298$
7.3.995173.1	$x^{7} - 3 x^{5} - x^{4} + 2 x^{3} + 3 x^{2} - 1$	$7$	[3,2]	$995173$	$1$	$7.19188368595$	$997.5835804582993$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.40192467421$
7.3.1011913.1	$x^{7} - x^{6} - x^{5} + 3 x^{4} - 2 x^{3} - 2 x^{2} + 2 x + 1$	$7$	[3,2]	$7\cdot 37\cdot 3907$	$3$	$7.20904267617$	$1005.9388649416027$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.42842830931$
7.3.1016777.1	$x^{7} - x^{6} - 3 x^{5} + 4 x^{4} + x^{3} - 3 x^{2} + x + 1$	$7$	[3,2]	$1016777$	$1$	$7.21398279076$	$1008.3536086115822$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.43191546804$
7.3.1018217.1	$x^{7} - x^{6} + x^{5} - 3 x^{4} - x^{2} + x + 1$	$7$	[3,2]	$1018217$	$1$	$7.2154414384$	$1009.0673912083374$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.43336846499$
7.3.1026801.1	$x^{7} - x^{6} - x^{5} - x^{4} + x^{3} + x^{2} + 1$	$7$	[3,2]	$3^{2}\cdot 114089$	$2$	$7.22410009342$	$585.0358963345753$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.42493582035$
7.3.1033441.1	$x^{7} - x^{6} + x^{4} - x^{2} - 2 x + 1$	$7$	[3,2]	$1033441$	$1$	$7.23075538412$	$1016.5830020219697$	?	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.4478558164$
7.3.1045573.1	$x^{7} - x^{6} - x^{5} + 2 x^{4} + x^{3} - 2 x^{2} - 2 x + 1$	$7$	[3,2]	$1045573$	$1$	$7.24282122631$	$1022.5326400658319$	?	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.44677458268$
7.3.1047017.1	$x^{7} - 2 x^{5} - 2 x^{4} + x^{3} + x^{2} + x + 1$	$7$	[3,2]	$41\cdot 25537$	$2$	$7.24424934944$	$1023.2384863754882$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.46297397258$
7.3.1048193.1	$x^{7} - 3 x^{6} + 3 x^{5} - 2 x^{4} + 2 x^{3} - x^{2} - 2 x + 1$	$7$	[3,2]	$1048193$	$1$	$7.24541117246$	$1023.8129712012834$	?	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.44421247249$
7.3.1063369.1	$x^{7} - x^{6} - x^{5} - x^{3} + x^{2} + x + 1$	$7$	[3,2]	$499\cdot 2131$	$2$	$7.26030484964$	$1031.1978471661002$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.47764661635$
7.3.1069193.1	$x^{7} - 2 x^{5} - 2 x^{4} + 3 x^{3} + 2 x^{2} - 2 x - 1$	$7$	[3,2]	$1069193$	$1$	$7.26597216056$	$1034.0178915279948$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.4793559731$
7.3.1072033.1	$x^{7} - x^{5} - x^{4} - x^{3} - x^{2} + x + 1$	$7$	[3,2]	$43\cdot 107\cdot 233$	$3$	$7.26872616137$	$1035.3902645862574$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.48196484041$
7.3.1078193.1	$x^{7} - x^{6} + 2 x^{4} - 3 x^{3} + x - 1$	$7$	[3,2]	$19\cdot 56747$	$2$	$7.27467820089$	$1038.3607273004889$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.47057938819$
7.3.1084313.1	$x^{7} - x^{6} + 2 x^{4} - 2 x^{3} - 1$	$7$	[3,2]	$1084313$	$1$	$7.28056279615$	$1041.3035100296167$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.54683250412$
7.3.1087369.1	$x^{7} - x^{6} - x^{5} + 3 x^{4} - 2 x^{3} - x^{2} + x - 1$	$7$	[3,2]	$137\cdot 7937$	$2$	$7.2834905976$	$1042.7698691465916$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.47389582325$
7.3.1104217.1	$x^{7} - 3 x^{6} + 6 x^{5} - 7 x^{4} + 4 x^{3} - 3 x + 1$	$7$	[3,2]	$1104217$	$1$	$7.29950633583$	$1050.8173009614945$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.48704006799$
7.3.1106461.1	$x^{7} - 2 x^{6} + x^{5} + 2 x^{4} - 3 x^{3} + x^{2} - 1$	$7$	[3,2]	$23\cdot 73\cdot 659$	$3$	$7.30162365309$	$1051.884499362929$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.50376502956$
7.3.1121929.1	$x^{7} - x^{6} - x^{5} - x^{4} + 2 x^{3} - 2 x^{2} + 1$	$7$	[3,2]	$163\cdot 6883$	$2$	$7.31611911538$	$1059.2114991822928$	?	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.58208366622$
7.3.1123273.1	$x^{7} - 2 x^{6} + 2 x^{5} - 2 x^{3} + 2 x^{2} - x - 1$	$7$	[3,2]	$263\cdot 4271$	$2$	$7.3173705085$	$1059.8457434928914$	✓	$S_7$ (as 7T7)	trivial	$2$	$4$	$1.5837094093$

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